Airline travelers oen choose which airport to y from based on ight cost. Cost data (in dollars) for a sample of ights to eight cities 'om Dayton, Ohio, and Louisville, Kentucky, were collected to help determine which of the two airports was more costly to y from. A researcher argued that it is signicantly more costly, on the average, to y out of Dayton than Louisville. The data, in dollars, are shown in the accompanying table: a). At 5% level of signicance, is there sufcient evidence to support the researcher's argument? Your conclusion must be in terms of the P-Value. Show all necessagy work. b). What type of error is possible and describe this error in terms of the problem. c). Construct a 95% condence interval for the difference in the actual average cost of ying between the two airports. Using this interval estimation, is there sufcient evidence support the researcher's argument? Explain Carefully. d). Interpret this interval estimation. e). Explain the sampling design in this problem. Can you propose another type of sampling design (if any) that could be used to perform the analysis of parts (a) and (0)? Give one advantage and one disadvantage of the design you are proposing. Exglain carefully